3545310672 has 120 divisors (see below), whose sum is σ = 10192972608. Its totient is φ = 1149657600.

The previous prime is 3545310661. The next prime is 3545310683. The reversal of 3545310672 is 2760135453.

3545310672 is a `hidden beast` number, since 3 + 54 + 531 + 0 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3545310661) and next prime (3545310683).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898253 + ... + 2899475.

Almost surely, 2^3545310672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096486304).

3545310672 is an abundant number, since it is smaller than the sum of its proper divisors (6647661936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3545310672 is a wasteful number, since it uses less digits than its factorization.

3545310672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3545310672 is about 59542.5114686977. The cubic root of 3545310672 is about 1524.8183134979.

The spelling of 3545310672 in words is "three billion, five hundred forty-five million, three hundred ten thousand, six hundred seventy-two".